Precalculus eday #3 Assignment

Transcription

1 Name Date Score Precalculus eday #3 Assignment 1. If X = 35, Y = 84, and Z = 91, what is the cosine of B? 2. If X = 60, Y = 25, and Z = 65, what is the sine of B? 3.

2 In the triangle shown above m A = 43, a = 13 cm, and c = 8 cm. What is the approximate measure of angle C? 4. If X = 24, Y = 18, and Z = 30, what is the sine of B? 5. If X = 30, Y = 40, and Z = 50, what is the sine of B?

3 6. In the triangle shown above, m A = 115, m C = 22, and a = 42 ft. What is the approximate length of side b? 7. A surveyor wants to determine the distance between a hospital and a medical office building. The distance from the surveyor to the hospital is 109 feet, and the distance from the surveyor to the medical office building is 90 feet. The angle formed between the surveyor's two views of these buildings is 63. What is the approximate distance between the hospital and the medical office building? 8.

4 In the triangle shown above m B = 106, m C = 27, and b = 19 in. What is the approximate length of side a? 9. In the triangle shown above m B = 114, m A = 47, and b = 12 in. What is the approximate length of side c? 10. In the triangle shown above m A = 49, m C = 22, and a = 16 in. What is the approximate length of side b?

5 11. In the triangle shown above, m B = 31, a = 6 m, and c = 19 m. What is the approximate length of side b? 12. If X = 36, Y = 27, and Z = 45, what is the tangent of B? 13.

6 If X = 24, Y = 32, and Z = 40, what is the tangent of B? 14. If X = 20, Y = 48, and Z = 52, what is the tangent of B? 15. In the triangle shown above, a = 78 mm, b = mm, and c = mm. What is the approximate measure of angle A? 16.

7 In the triangle shown above, m A = 43, b = 42 ft, and c = 18 ft. What is the approximate length of side a? 17. In the triangle shown above, a = 28 cm, b = 21 cm, and c = 14 cm. What is the approximate measure of angle C? 18. In the triangle shown above, m C = 135, a = 60 cm, and b = 97.5 cm. What is the approximate length of side c?

8 19. Two forces acting on an object form a 60 angle. Force A is 36 pounds, force B is 15 pounds, and the resultant force is approximately 45 pounds. What is the measure of the angle formed by the resultant force and force B? (Round to the nearest degree.) 20. If X = 45, Y = 108, and Z = 117, what is the sine of B? 21. An airplane is flying at 259 miles per hour with a bearing of 25 in the northeast direction. The wind is blowing due east at 21 miles per hour. If the ground speed of the plane is approximately 269 miles per hour, what is the approximate final bearing,, of the airplane?

9 Note: picture not drawn to scale 22. If X = 12, Y = 5, and Z = 13, what is the cosine of B? 23. Triangle ABC is similar to triangle DEF. The measure of A is 32. The measure of B is 72. What is the measure of F? 24.

10 If X = 9, Y = 12, and Z = 15, what is the tangent of B? 25. In the triangle shown above m A = 40, m B = 105, and a = 18 in. What is the approximate length of side c? 26. If X = 3, Y = 4, and Z = 5, what is the cosine of B?

11 27. In the triangle shown above, a = 11 in, b = 15 in, and c = 7 in. What is the approximate measure of angle A? 28. If X = 108, Y = 45, and Z = 117, what is the tangent of B? 29. If X = 28, Y = 21, and Z = 35, what is the cosine of B?

12 30. If X = 16, Y = 12, and Z = 20, what is the cosine of B?